Trapezoid Rule: Numerical Integration What is the trapezoid rule?The trapezoidal rule is given in the formula booklet What else can be asked to do with the trapezoid rule? Comparing the true answer...
Concavity of a Function What is concavity? Concavity is the way in which a curve (or surface) bends Mathematically, CONCAVE DOWN is often called concave CONCAVE UP is often called convex Exa...
Stationary Points & Turning Points What is the difference between a stationary point and a turning point? A stationary point is a point at which the gradient function is equal to zero The tange...
Second Order Derivatives What is the second order derivative of a function? If you differentiate the derivative of a function (i.e. differentiate the function a second time) you get the second orde...
Related Rates of Change What is meant by rates of change? A rate of change is a measure of how a quantity is changing with respect to another quantity Mathematically rates of change are derivatives...
Chain Rule What is the chain rule?How do I know when to use the chain rule? How do I use the chain rule? Are there any standard results for using chain rule? Exam Tip You should aim to be able to s...
Differentiating Trig Functions How do I differentiate sin, cos and tan?These last three results can be derived using the chain rule For calculus with trigonometric functions angles must be measured...
Modelling with Differentiation What can be modelled with differentiation? Recall that differentiation is about the rate of change of a function and provides a way of finding minimum and maximum val...
Increasing & Decreasing Functions What are increasing and decreasing functions? How do I find where functions are increasing, decreasing or stationary? To identify the intervals on which a func...
